1. Calculate the output for f(x)=3x−1 when the input is x=14; that is, find f(14). 2. If f(x)=3x−1, find f(-10). 3. Function: f(x)=3x−1 If the output of this function is 24, what was the input? That is, if f(x)=24, then what was x? Is there more than one possible input? 4. Determine the relationship between x and f(x) in the table below and write the equation.

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b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: